13672000 has 56 divisors (see below), whose sum is σ = 33878520. Its totient is φ = 5465600.

The previous prime is 13671989. The next prime is 13672003. The reversal of 13672000 is 27631.

It can be written as a sum of positive squares in 4 ways, for example, as 1893376 + 11778624 = 1376^2 + 3432^2 .

It is not an unprimeable number, because it can be changed into a prime (13672003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7146 + ... + 8854.

Almost surely, 2^13672000 is an apocalyptic number.

13672000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16939260).

13672000 is an abundant number, since it is smaller than the sum of its proper divisors (20206520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13672000 is an equidigital number, since it uses as much as digits as its factorization.

13672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1736 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 13672000 is about 3697.5667674837. The cubic root of 13672000 is about 239.1171265800.

Adding to 13672000 its reverse (27631), we get a palindrome (13699631).

The spelling of 13672000 in words is "thirteen million, six hundred seventy-two thousand".